Hello, I just started working in Maple and I am struggling with a question that I found in my book. The question goes as follows:

Consider the set of vectors T = {v1, v2, v3​​​​, v4} in ℝ4 with

v1 = (2,5,-2,0), v2= (-2,-4,b,4), v3= (-1,2,-2,-5), v4 = (b,2,5,3)

Find all values of b, such that T is a linearly independent set

I am supposed to first solve it by hand and then in maple. I can solve it by hand but I have no clue how to do it in maple.The only thing I've done so far is create a matrix that contains the vectors in the set S as column entries.

I know that the columns of A are linearly independent if det A ≠ 0. This is where my near non-existent knowledge in Maple stops me...